No, not in the UK. XKEYSCORE surveillance tools are used without a warrant signed by a judge (the police grant themselves "warrants" covering unlimited uses for a period pending renewal, which I would have assumed constituted a "general warrant", something prohibited in UK constitutional law... but I am not a UK lawyer).

MI5, MI6, and NCA are immune to Freedom of Information, and you cannot sue in open court; you can take it to the Investigatory Powers Tribunal, who will not even let your lawyer see the relevant information to the case.